An iterative method for generalized set-valued nonlinear mixed quasi-variational inequalities

This paper presents an iterative method for solving the generalized nonlinear set-valued mixed quasi-variational inequality, a problem class that was introduced by Huang et al. (Comp. Math. Appl. 40 (2–3) (2000) 205–215). The method incorporates step size controls that enable application to problems...

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Veröffentlicht in:	Journal of computational and applied mathematics 2004-09, Vol.170 (2), p.423-432
Hauptverfasser:	Al-Shemas, Eman, Billups, Stephen C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of variations and optimal control Exact sciences and technology Fixed point methods Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Quasi-variational inequalities Sciences and techniques of general use Set-valued mappings
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Zusammenfassung:	This paper presents an iterative method for solving the generalized nonlinear set-valued mixed quasi-variational inequality, a problem class that was introduced by Huang et al. (Comp. Math. Appl. 40 (2–3) (2000) 205–215). The method incorporates step size controls that enable application to problems where certain set-valued mappings do not always map to nonempty closed bounded sets.
ISSN:	0377-0427 1879-1778
DOI:	10.1016/j.cam.2004.01.028